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Finding the Third Proportional to 53,473 and 61,249

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Solution

The third proportional to 53,473 and 61,249 is: 70,155.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,473 : 61,249 = 61,249 : x
  2. Step 2: Convert to fraction form
    53,473/61,249 = 61,249/x
  3. Step 3: Cross multiply
    53,473x = 61,249 × 61,249
  4. Step 4: Simplify right side
    53,473x = 3,751,440,001
  5. Step 5: Solve for x
    x = 3,751,440,001/53,473
  6. Step 6: Final answer
    x = 70,155.78

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.